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Two dogs are running towards each other from opposite ends of a two-mile track. Dog 1 has a speed of 12 mph and Dog 2 has a speed of 8 mph. How many miles from Dog 1’s starting position will they meet?
  • a)
    1
  • b)
    6/5
  • c)
    5/4
  • d)
    4/3
  • e)
    3/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two dogs are running towards each other from opposite ends of a two-mi...
Step 1: Question statement and Inferences
Let the two dogs meet at a distance of x miles from the Starting position of Dog 1.
So, Dog 1 covers a distance of x miles at a speed of 12 mph to reach the meeting point.
In the same time, Dog 2 covers a distance of (2-x) miles at a speed of 8 mph to reach the meeting point
Step 2: Finding required values
We know that
 
Since the time taken by Dog 1 to reach the meeting point is equal to the time taken by Dog 2 to reach the meeting point, we can write:
 
 
The dogs will meet 6/5 miles from Dog 1’s starting position.
Answer: Option (B)
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Most Upvoted Answer
Two dogs are running towards each other from opposite ends of a two-mi...
To solve this problem, we can use the concept of relative speed. Relative speed is the difference between the speeds of two objects moving in opposite directions.

Let's assume that the dogs meet after t hours. In that time, Dog 1 would have traveled a distance of 12t miles, and Dog 2 would have traveled a distance of 8t miles.

The total distance between the dogs is 2 miles, so we can set up the equation:
12t + 8t = 2
20t = 2
t = 2/20
t = 1/10 hour

Therefore, the dogs will meet after 1/10 hour.

To find the distance from Dog 1's starting position, we can substitute the value of t into the distance formula:
Distance = Speed × Time
Distance = 12 × 1/10
Distance = 12/10
Distance = 6/5 miles

Hence, the dogs will meet 6/5 miles from Dog 1's starting position.

Therefore, the correct answer is option B) 6/5.
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